Pith Number

pith:ODRTCWK2

pith:2021:ODRTCWK2P32Q2MLIEUQSURVBAH

not attested not anchored not stored refs pending

A General Statistical Mechanics Framework for the Collective Motion of Animals

Cai Wang, Jiacheng Cai, Jianlong Zhang, Xuan Chen

arxiv:2112.15560 v1 · 2021-12-31 · physics.bio-ph · stat.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ODRTCWK2P32Q2MLIEUQSURVBAH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T03:44:47.531228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70e331595a7ef50d316825212a46a101fd9e94704e3bb1b345d7a8ee05b956a6

Aliases

arxiv: 2112.15560 · arxiv_version: 2112.15560v1 · doi: 10.48550/arxiv.2112.15560 · pith_short_12: ODRTCWK2P32Q · pith_short_16: ODRTCWK2P32Q2MLI · pith_short_8: ODRTCWK2

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ODRTCWK2P32Q2MLIEUQSURVBAH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 70e331595a7ef50d316825212a46a101fd9e94704e3bb1b345d7a8ee05b956a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96c1622f36df0f149e642b71b1c91f644e577fab26c224587a3cb605b262c12f",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2021-12-31T17:27:57Z",
    "title_canon_sha256": "040dc60244de3ca075a1f33f4e88d0be64e2f2e9bf6c31a605e50cb120669167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.15560",
    "kind": "arxiv",
    "version": 1
  }
}